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Research map / Bandits and online learning / Contextual bandits and Thompson sampling

Misspecified Gaussian Process Bandit Optimization

NeurIPS 2021 · Bandits and online learning › Contextual bandits and Thompson sampling · approach: Gaussian process bandit regret · 3 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use phased uncertainty sampling and elimination without knowing εGP bandit optimization · Misspecified kernelized banditscumulative regret bound: same regret guarantee without knowledge of εHelped
Enlarge GP-UCB confidence bounds using the known misspecification error εEC-GP-UCB · Misspecified kernelized banditscumulative regret: O\Big( B \sqrt{\gamma_T T} + \sqrt{(\ln (1/\delta) + \gamma_{T})\gamma_T T} + \epsilon T \sqrt{\gamma_T}\Big)Helped
Use standard GP-UCB without an ε-dependent confidence enlargement when ε is unknownGP-UCB · Misspecified kernelized banditscumulative regretHurt
Combine EC-GP-UCB candidates with regret bound balancingContextual GP bandits with stochastic action sets · Misspecified contextual kernelized banditscontextual cumulative regret bound: \tilde{O}\Big((B\sqrt{\gamma_T} + \gamma_T) \sqrt{T} + \epsilon T \sqrt{\gamma_T} + (B\sqrt{\gamma_T} + \gamma_T)^2 \BigHelped
Use phased uncertainty sampling with the linear kernelPhased GP Uncertainty Sampling · Misspecified linear banditscumulative regret bound: \tilde{O}(\epsilon T \sqrt{d})Helped
Allow misspecification of size εAny algorithm in the general kernelized setting · Misspecified kernelized banditscumulative regret lower bound: \Omega(T\epsilon)Hurt

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